In a store, perhaps. People want it to be easy to shop, so it would be best for say, a top ramen package to be the same net weight as all the other top ramen packages. This makes it 1) easy to label and 2) easy to be confident buying, as it is exactly the same as all the others.
i think the answer is 24.56
Answer:
Mean: ![\bar x = 40.61](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%2040.61)
![Median =40.2](https://tex.z-dn.net/?f=Median%20%3D40.2)
![Mode = 43.4](https://tex.z-dn.net/?f=Mode%20%3D%2043.4)
Step-by-step explanation:
Given
See attachment for data
Solving (a): The mean
Mean is calculated as:
![\bar x = \frac{\sum x}{n}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%20%5Cfrac%7B%5Csum%20x%7D%7Bn%7D)
From the attached:
![n = 14](https://tex.z-dn.net/?f=n%20%3D%2014)
So, the mean is:
![\bar x = \frac{43.4+43.4+43.4+43.1+43.2+40.2+40.2+40.1+40.3+39.44+39.17+38.03+38.19+36.45}{14}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%20%5Cfrac%7B43.4%2B43.4%2B43.4%2B43.1%2B43.2%2B40.2%2B40.2%2B40.1%2B40.3%2B39.44%2B39.17%2B38.03%2B38.19%2B36.45%7D%7B14%7D)
![\bar x = \frac{568.58}{14}](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%20%5Cfrac%7B568.58%7D%7B14%7D)
![\bar x = 40.61](https://tex.z-dn.net/?f=%5Cbar%20x%20%3D%2040.61)
Solving (b): The median
; this is an even number. So, the median is:
![Median = \frac{1}{2}(n+1)](https://tex.z-dn.net/?f=Median%20%3D%20%5Cfrac%7B1%7D%7B2%7D%28n%2B1%29)
![Median = \frac{1}{2}(14+1)](https://tex.z-dn.net/?f=Median%20%3D%20%5Cfrac%7B1%7D%7B2%7D%2814%2B1%29)
![Median = \frac{1}{2}(15)](https://tex.z-dn.net/?f=Median%20%3D%20%5Cfrac%7B1%7D%7B2%7D%2815%29)
![Median = 7.5th](https://tex.z-dn.net/?f=Median%20%3D%207.5th)
This implies that the median is the average of the 7th and 8th item.
Next, is to order the data (in ascending order): <em>36.45, 38.03, 38.19, 39.17, 39.44, 40.1, 40.2, 40.2, 40.3, 43.1, 43.2, 43.4, 43.4, 43.4.</em>
The 7th and 8th items are: 40.2 and 40.2
The median is:
![Median = \frac{1}{2}(40.2 + 40.2)](https://tex.z-dn.net/?f=Median%20%3D%20%5Cfrac%7B1%7D%7B2%7D%2840.2%20%2B%2040.2%29)
![Median = \frac{1}{2}*80.4](https://tex.z-dn.net/?f=Median%20%3D%20%5Cfrac%7B1%7D%7B2%7D%2A80.4)
![Median =40.2](https://tex.z-dn.net/?f=Median%20%3D40.2)
Solving (c): The mode
43.4 has the highest number of occurrence.
So:
![Mode = 43.4](https://tex.z-dn.net/?f=Mode%20%3D%2043.4)
Consider the form x^2+bx+c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is 36 and whose sum is 20.
2, 18
Write the factored form using these integers.
(x+2)(x+18)